Hi,
well, NLimit is not a built-in function. You would need to execute:
Needs["NumericalCalculus`"]
before you can use NLimit. Also ln should rather be Log, because all Mathematica functions start with a capital. If you use
Limit[(E^(2/n) - 1)/(Log[(2 n - 1)/(2 n)]), n -> Infinity]
that gives -4 (infinite precision). If you load the NumericalCalculus package as shown above,
NLimit[(E^(2/n) - 1)/(Log[(2 n - 1)/(2 n)]), n -> Infinity]
also gives -4. but with machine precision.
Cheers,
Marco
